On Fractional Annealing Process

TL;DR

This paper introduces a fractional model for the full annealing process in metal alloys, accounting for fractional noise from furnace conditions, and identifies the system's steady states within this framework.

Contribution

It develops a novel fractional modeling approach for the annealing process, capturing complex noise effects and determining steady states.

Findings

Fractional noise impacts the annealing process dynamics.

Steady states are characterized within the fractional model.

The model provides insights into temperature and structural stability.

Abstract

The paper deals with a full annealing process, for example for a metal alloy perturbed by some fractional noise caused by conditions in furnace such as initial temperature, initial structure of material itsel. The energy of the heating matter system depending on its states at each time, we consider some steady state at full annealing range by introducing a fractional model for it. And we determine states of the system related to this steady state.